Question

The larger of two supplementary angles exceeds the smaller by 18 degrees .find them

Answer 1

Answer:

99º and 81º.

Step-by-step explanation:

Let the larger angle be x and smaller angle be y.

We know that the sum of the measures of angles of a supplementary pair is always 180º.

According to the given information,

x + y = 180º   .....(1)    

x − y = 18º     ......(2)

From (1), we obtain

x = 180º − y   .....(3)

Substituting this in equation (2), we obtain

180º − y − y = 18º

162º = 2y

y = 81º

Putting this in equation (3), we obtain

x = 180º − 81º  = 99º

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Answer 2

Step-by-step explanation:

HLW MATE HERE IS YOUR CORRECT ANSWER.......

Let the larger angle be 'x' and the smaller one be 'y'

ATQ,

x =y +18 ---------------------(1)

We know that, sum of supplementary angles =180°

x+y=180°---------------------(2)

SUBSTITUTE x=y+18 in eq (2)

y+18+y=180°

2y=180-18

2y=162

y=162/2

✓y=81

x=81+18

=99

THEREFORE,

THE ANGLES ARE 81 AND 99